In a large bowl, combine the turkey, garlic, onion, egg, sauces, breadcrumbs, parsley and spices. Using your hands, really mix it all up to make sure all the ingredients have combined into the turkey. Divide into five patties, pressing firmly into shape.
Preheat a nonstick pan/griddle with 1 tablespoon olive oil on medium-high heat. Add the patties and fry until cooked through and seared on both sides. (Lower heat if you find them burning, and half cover the pan with a lid to ensure they cook through). Add the cheese slice on top of each patty while still in the pan, just before removing them, so they melt and warm through.
Slice buns in half and toast under grill/broiler, or not. Totally optional.
Mix the Greek yogurt and mayo together in a bowl. Add the coleslaw and mix through. Season with salt/pepper to your tastes.
Serve burgers with the patty, pile the ‘slaw high, drizzle with extra barbecue sauce and top with extra parsley (if you want to).
